Positive Periodic Stability to a Neutral Nicholson’s Blowflies Model

• Chuangxia Huang ^[1] ; Xiaodan Ding ^[1] ; Qian Wang ^[1]
  1. [1] Changsha University of Science and Technology

     Changsha University of Science and Technology

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 24, Nº 3, 2025
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • In this study, we modify a neutral Nicholson’s blowflies model to incorporate periodic delays and coefficients. We employ various differential inequality analysis strategies, along with the fluctuation lemma, to set up two sufficient criteria that guarantee the existence and globally exponential stability of periodic solutions for the proposed equation. These results are illustrated numerically with two simulation examples.

    Additionally, our findings extend the existing results for the classical delayed Nicholson’s blowflies model.

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